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Finding the Fourth Proportional to 867.14, 1,196.64 and 474.16

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Solution

The fourth proportional to 867.14, 1,196.64 and 474.16 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.14 : 1,196.64 = 474.16 : x
  2. Step 2: Convert to fraction form
    867.14/1,196.64 = 474.16/x
  3. Step 3: Cross multiply
    867.14x = 1,196.64 × 474.16
  4. Step 4: Simplify right side
    867.14x = 567,397.02
  5. Step 5: Solve for x
    x = 567,397.02/867.14
  6. Step 6: Final answer
    x = 654.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.